Anton Stralman was born August 1, 1986 in Tibro, Sweden. The seventh round, 216th overall selection of the Toronto Maple Leafs in the 2005 NHL Entry Draft, Stralman honed his skills in the Swedish Elite League with Timra IK.

A smooth-skating defenseman, Stralman crossed the pond in the summer of 2007 to join the Leafs' AHL affiliate. However, after injuries bruised the club's line-up, Stralman was called up to the blue and white to appear in his first NHL game on October 23, 2007. He went on to split his 2007-08 season between the Maple Leafs and their AHL affiliate that season, and looked especially comfortable in a game against the Canadiens in which he tallied two goals.

During the 2009 offseason, Stralman was traded, along with Colin Stuart and a seventh round draft pick, to the Calgary Flames for Wayne Primeau for a second round draft pick. Stralman never played a game for the Flames as he was traded once again to the Columbus Blue Jackets for a third round pick in September of 2009.

After playing two seasons in Columbus, Stralman had trouble finding an NHL team. It wasn't until November 3, 2011 that the New York Rangers signed him to a one year contract. His play impressed the Rangers enough to extend his contract for another two years.

After Stralman helped the Rangers to the 2014 Stanley Cup Final, he left the team as an unrestricted free agent to sign a five year contract with the Tampa Bay Lightning. In his first year in Tampa Bay, he returned to the 2015 Stanley Cup Final where the Lightning lost in six games to the Chicago Blackhawks.

On July 1, 2014, Stralman's time in the Rangers organization would come to an end. As an unrestricted free agent he inked a deal with the Tampa Bay Lightning.

On the international stage, Stralman has represented his native Sweden five times. This includes three appearances at the World Championships (2007, 2008, 2009) where he won a Bronze Medal in 2009.